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Lie algebras of finite and affine type

Author: Roger W Carter
Publisher: Cambridge : Cambridge University Press, 2005.
Series: Cambridge studies in advanced mathematics, 96.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. A detailed Appendix is included.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Roger W Carter
ISBN: 0511129300 9780511129308 9780521851381 0521851386 9780511614910 0511614918 9780511200533 0511200536
OCLC Number: 271786013
Description: 1 online resource (xvii, 632 pages) : illustrations.
Contents: Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Basic concepts; 2 Representations of soluble and nilpotent Lie algebras; 3 Cartan subalgebras; 4 The Cartan decomposition; 5 The root system and the Weyl group; 6 The Cartan matrix and the Dynkin diagram; 7 The existence and uniqueness theorems; 8 The simple Lie algebras; 9 Some universal constructions; 10 Irreducible modules for semisimple Lie algebras; 11 Further properties of the universal enveloping algebra; 12 Character and dimension formulae; 13 Fundamental modules for simple Lie algebras.
Series Title: Cambridge studies in advanced mathematics, 96.
Responsibility: R.W. Carter.

Abstract:

This book provides a thorough but relaxed mathematical treatment of Lie algebras.  Read more...

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"This monograph provides a crystal clear exposition of the theory of finite-dimensional simple Lie algebras and a nice introduction to (infinite-dimensional) Kac - Moody algebras of affine type. Read more...

 
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